English

Spin Diffusion in Spin Glasses Require Two Magnetic Variables, $\vec{M}$ and $\vec{m}$

Mesoscale and Nanoscale Physics 2023-04-04 v2 Disordered Systems and Neural Networks

Abstract

Experiment has established that spin-glasses can support a steady-state spin current ji\vec{j}_{i}. However, the accepted theory of spin glass dynamics permits oscillations but no steady-state spin current. Onsager's irreversible thermodynamics implies that the spin current is proportional to the gradient of a magnetization. We argue, however, that the magnon distribution function associated with the local equilibrium magnetization M\vec{M} cannot diffuse because it represents 102310^{23} variables. We therefore invoke the non-equilibrium magnetization m\vec{m}, which in spintronics is called the {\it spin accumulation}. Applying the theory of irreversible thermodynamics we indeed find that it predicts spin diffusion, and we consider other experimental consequences of the theory, including a wavelength-dependent coupling between the reactive and the diffusive degrees of freedom.

Keywords

Cite

@article{arxiv.2210.05865,
  title  = {Spin Diffusion in Spin Glasses Require Two Magnetic Variables, $\vec{M}$ and $\vec{m}$},
  author = {Chen Sun and Wayne M. Saslow},
  journal= {arXiv preprint arXiv:2210.05865},
  year   = {2023}
}

Comments

Version accepted by PRB

R2 v1 2026-06-28T03:23:25.529Z